A family of complex potentials with real spectrum
We consider a two-parameter non-Hermitian quantum mechanical Hamiltonian operator that is invariant under the combined effects of parity and time reversal transformations. Numerical investigation shows that for some values of the potential parameters the Hamiltonian operator supports real eigenvalue...
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| Autores principales: | , , , |
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| Formato: | Articulo Preprint |
| Lenguaje: | Español |
| Publicado: |
1999
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| Materias: | |
| Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/123634 |
| Aporte de: |
| id |
I19-R120-10915-123634 |
|---|---|
| record_format |
dspace |
| institution |
Universidad Nacional de La Plata |
| institution_str |
I-19 |
| repository_str |
R-120 |
| collection |
SEDICI (UNLP) |
| language |
Español |
| topic |
Física Eigenfunction Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) Mathematics Mathematical physics Quantum mechanics Quantum Physics Eigenfunction Mathematical analysis Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) |
| spellingShingle |
Física Eigenfunction Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) Mathematics Mathematical physics Quantum mechanics Quantum Physics Eigenfunction Mathematical analysis Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) Fernández, Francisco Marcelo Guardiola, R. Regidor Ros, José Luis Znojil, Miloslav A family of complex potentials with real spectrum |
| topic_facet |
Física Eigenfunction Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) Mathematics Mathematical physics Quantum mechanics Quantum Physics Eigenfunction Mathematical analysis Eigenvalues and eigenvectors Hamiltonian (quantum mechanics) Complex plane Invariant (physics) Integrable system Parity (physics) |
| description |
We consider a two-parameter non-Hermitian quantum mechanical Hamiltonian operator that is invariant under the combined effects of parity and time reversal transformations. Numerical investigation shows that for some values of the potential parameters the Hamiltonian operator supports real eigenvalues and localized eigenfunctions. In contrast with other parity times time reversal symmetric models which require special integration paths in the complex plane, our model is integrable along a line parallel to the real axis. |
| format |
Articulo Preprint |
| author |
Fernández, Francisco Marcelo Guardiola, R. Regidor Ros, José Luis Znojil, Miloslav |
| author_facet |
Fernández, Francisco Marcelo Guardiola, R. Regidor Ros, José Luis Znojil, Miloslav |
| author_sort |
Fernández, Francisco Marcelo |
| title |
A family of complex potentials with real spectrum |
| title_short |
A family of complex potentials with real spectrum |
| title_full |
A family of complex potentials with real spectrum |
| title_fullStr |
A family of complex potentials with real spectrum |
| title_full_unstemmed |
A family of complex potentials with real spectrum |
| title_sort |
family of complex potentials with real spectrum |
| publishDate |
1999 |
| url |
http://sedici.unlp.edu.ar/handle/10915/123634 |
| work_keys_str_mv |
AT fernandezfranciscomarcelo afamilyofcomplexpotentialswithrealspectrum AT guardiolar afamilyofcomplexpotentialswithrealspectrum AT regidorrosjoseluis afamilyofcomplexpotentialswithrealspectrum AT znojilmiloslav afamilyofcomplexpotentialswithrealspectrum AT fernandezfranciscomarcelo familyofcomplexpotentialswithrealspectrum AT guardiolar familyofcomplexpotentialswithrealspectrum AT regidorrosjoseluis familyofcomplexpotentialswithrealspectrum AT znojilmiloslav familyofcomplexpotentialswithrealspectrum |
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Repositorios |
| _version_ |
1764820449889353732 |